Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 11, 19, ['2587', 'N', '9887', 'E', '5507', 'X', 'n', 'R', '7999', '6937', 'U', 'D', 'W', 'T', 'D', '967', 'w', 'W', '5209', '9301', '2397', 'l', 'A']

6176